Advertisements
Advertisements
Question
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Solution
We have,
`(7/9 a + 9/7 b)^2 - ab = (7/9 a)^2 + (9/7 b)^2 + 2 xx 7/9 a xx 9/7 b - ab` ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= `49/81 a^2 + 81/49 b^2 + 2ab - ab`
= `49/81 a^2 + ab + 81/49 b^2`
APPEARS IN
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following: 994 × 1006
Expand the following:
(−p + 2q + 3r)2
Expand the following:
(3a + 1)(3a – 2)(3a + 4)
By using identity evaluate the following:
73 – 103 + 33
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Using suitable identities, evaluate the following.
(98)2